9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
Answer:
5.218
Step-by-step explanation:
5 or more, you add one. Four or less, you change it to zero.
Answer:
a) See figure attached
b) 
c) 
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:


Then we can use the same law in order to find the valueof x liek this:


And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

And if we solve for h we got:

So then the heigth for the building is approximately 30 ft
Answer:
12.699
Step-by-step explanation:
i think if you do 26-22.4, you get the leg of the small triangle which is 3.6
then do Pythagorean theorem
3.6^2 + x^2 = 13.2^2
12.96 +x^2 = 174.24
174.24-12.96
x^2 = 161.28
take square root
x = 12.699
Angle is 90 degrees, so five-thirds of a right angle is 90*5/3=450/3=150 degrees.